 ### In what ratio must water be mixed with milk to gain $16 \large\frac{2}{3} \%$ on selling the mixture at cost price?

A. 1 : 6 B. 6 : 1 C. 2 : 3 D. 4 : 3 Answer: Option A

### Solution(By Apex Team)

Let C.P. of 1 litre milk be Rs. 1 S.P. of 1 litre of mixture = Rs. 1, Gain = $\Large\frac{50}{3} \%$ ∴ C.P. of 1 litre of mixture = $100 \times \large\frac{3}{350} \times 1=\large\frac{6}{7}$ BY the rule of alligation, we have: ∴ Ration of water and milk = $\Large\frac{1}{7}: \frac{6}{7}$ = 1 : 6

## Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

### An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres